Let us assume the number of children attending the movie = x Let us also assume the number of adults attending the movie = y Cost of admission for a children in the movie = $8 Cost of admission of an adult in the movie = $12 Number of people going to the movie on a certain day = 3200 Total amount collected from the movie theater = $33040 Then x + y = 3200 And 8x + 12y = 33040 2x + 3y = 8260 Let us first take the equation x + y = 3200 x = 3200 - y Now we will put the value of x in the equation 2x + 3y = 8260 2(3200 - y) + 3y = 8260 6400 - 2y + 3y = 8260 y = 8260 - 6400 = 1860 Now we will put the value of y from the above deduction in the equation x + y = 3200 x + 1860 = 3200 x = 3200 - 1860 = 1340 So the number of children going to the movie theater is 1340 and the number of adults going to the movie theater is 1860.
